• Title/Summary/Keyword: integral curve

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Comparison with R Curve Behavior fer the K and J Parameter of structural Steel Hot-Rolled Thin Plates (일반구조용강 열간압연 박판의 K와 J 파라미터에 대한 R곡선 거동의 비교)

  • 이계승;이억섭
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.812-815
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    • 2002
  • The shape of K-R curve for an ideally brittle material is flat because the surface energy is an unvaried material property. However, the K-R curve can take on a variety of shapes when nonlinear material behavior accompanies fracture. By the way, a general metallic material is nonlinear, structural steel is such. Therefore, the J-R curve form J-integral value instead of K parameters can be used to evaluate elastic-plastic materials with flaws in terms of ductile fracture that can be significant to design. In this paper, R-curve behaviors form K and J parameter is considered for the precise assessment of fracture analysis, in case of JS-SS400 steels.

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Fracture Analysis of Concrete Structures using Boundary Element Method (경계요소법에 의한 콘크리트 구조물의 진행성 파괴해석)

  • 송하원;전재홍
    • Computational Structural Engineering
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    • v.9 no.4
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    • pp.127-134
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    • 1996
  • This paper is about a progressive fracture analysis of concrete by boundary element method. From both displacement boundary integral equation and traction boundary integral equation of solids with cracks, a boundary integral equation for crack problem is derived. For the analysis of progressive fracture of concrete, fracture process zone is modelled based on Dugdale-Barenblatt model with linear tension-softening curve. By using the boundary element modeling, the progressive fractures of concrete beam and compact-tension specimens with various loading conditions are analyzed and compared with experiments. The analysis results show that the technique in this paper can predict the maximum strength and the nonlinear behavior of concrete including post-peak behavior.

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Fatigue Life Prediction by Elastic-Plastic Fracture mechanics for Surface Flaw Steel (표면결함재에 관한 탄소성 파괴역학에 의한 피로수명 예측)

  • Gang, Yong-Gu;Seo, Chang-Min;Lee, Jong-Sik
    • Journal of Ocean Engineering and Technology
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    • v.9 no.2
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    • pp.112-122
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    • 1995
  • In this work, prediction of fatigue life and fatigue crack growth are studied. 4th order polynominal function is presented to describe the crack growth behaviors from artifical pit of SM45C steel. Crack growth curves obtained from 4th order polyminal growth equations are in good agreement with experimental data The crack growth behaviors at arbitrary stress levels and investigated by the concept of elastic-plastic fracture mechanics using ${\Delta}J$. Fatigue life prediction are carried out by numerical integral method. Prediction lives obtained by proposed method in this study, is in good agreement with the experimental ones. Life prediction results calculated by using of ${\Delta}J$ better than those of ${\Delta}K$.

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A method of Determination of Fracture Toughness of Reactor Pressure Vessel Steel by J Integral (J적분을 이용한 원자력 압력용기강의 파괴인성치의 결정)

  • 오세욱;임만배;김진선
    • Journal of Ocean Engineering and Technology
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    • v.9 no.1
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    • pp.111-119
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    • 1995
  • The elastic-plastic fracture toughness($J_{IC}$) and fracture resistance (J-R curve) of SA508-3 alloy steel used for nuclear reactor pressure vessel are investigated by using CT-type specimens. Fracture toughness tests are conducted by unloading compliance method and multiple specimen method at room temperature, -2$0^{\circ}C$ and 20$0^{\circ}C$. The apparent negative crack growth phenomenon which usually arises in partial unloading compliance test is well known. The negative crack growth phenomenon in determining J sub(IC) or J-R cure from partial unloading compliance experiments may be eliminated by the offset technique. In this study, the evaluation of $J_{IC}$ multiple specimen method recommended by the JSME gives the most reliable results by using half-size CT(similar-type) specimens.

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Numerical Analysis of the Thermally Stimulated Currents from Carriers Trapped in Polyerhylene Terephalate (폴리에틸렌 텔레프탈레이트 중에 트ㅡ랩된케리아에 의한 열자격 전류의 수치해석)

  • 김봉흡;류강식;이상돈
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.11
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    • pp.783-789
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    • 1987
  • It is anticipated that the accuracy of the numerical value obtained by curve fitting is mainly governed by how to evaluate the term of exponential integral involved in the theory of TSC, so that evaluation process of the instegral term concerned is replaced by Romberg numerical integral method instead of the conventional approximation method of asymtotic expansion or Simmons-Tayler with expectation to get the improved accuracy. In order to examine the effectiveness of the proposed method, the new algorithm is tried to adapt to the peak of TSC observed about 356 K im the specimen of polyethylene terephthalate in which carrier is injected by means of corona dischargel. As theresults, it is confirmed that the proposed method being cooperated with Romberg numerical intergral intergral is superior to the existing conventional curve fitting method.

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Genetic Programming Approach to Curve Fitting of Noisy Data and Its Application In Ship Design (유전적 프로그래밍을 이용한 노이지 데이터의 Curve Fitting과 선박설계에서의 적용)

  • Lee K. H.;Yeun Y S.
    • Korean Journal of Computational Design and Engineering
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    • v.9 no.3
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    • pp.183-191
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    • 2004
  • This paper deals with smooth curve fitting of data corrupt by noise. Most research efforts have been concentrated on employing the smoothness penalty function with the estimation of its optimal parameter in order to avoid the 'overfilling and underfitting' dilemma in noisy data fitting problems. Our approach, called DBSF(Differentiation-Based Smooth Fitting), is different from the above-mentioned method. The main idea is that optimal functions approximately estimating the derivative of noisy curve data are generated first using genetic programming, and then their integral values are evaluated and used to recover the original curve form. To show the effectiveness of this approach, DBSP is demonstrated by presenting two illustrative examples and the application of estimating the principal dimensions of bulk cargo ships in the conceptual design stage.

Analytical Evaluation of the Surface Integral in the Singularity Methods

  • Suh, Jung-Chun
    • Selected Papers of The Society of Naval Architects of Korea
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    • v.2 no.1
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    • pp.1-17
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    • 1994
  • For a planar curve-sided panel with constant or linear density distributions of source or doublet in the singularity methods, Cantaloube and Rehbach show that the surface integral can be transformed into contour integral by using Stokes'formulas. As an extension of their formulations, this paper deals with a planar polygonal panel for which we derive the closed-forms of the potentials and the velocities induced by the singularity distributions. Test calculations show that the analytical evaluation of the closed-forms is superior to numerical integration (suggested by Cantaloube and Rehbach) of the contour integral. The compact and explicit expressions may produce accurate values of matrix elements of simultaneous linear equations in the singularity methods with much reduced computer time.

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Computational Performance Prediction of Main Coolant Pump for the Integral Reactor SMART (일체형원자로 SMART 냉각재 순환펌프의 전산성능예측)

  • Kim M. H;Lee J. S;Park J. S;Kim J. I;Kim K. K
    • Journal of computational fluids engineering
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    • v.8 no.3
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    • pp.32-40
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    • 2003
  • CFD analyses of the three-dimensional turbulent flow in the impeller and diffuser of an axial flow pump including suction and discharge parts are presented and compared with experimental data. The purpose of the current study is to validate the CFD method for the performance analysis of the main coolant pump for SMART and to investigate the effect of suction and discharge shapes on the pump performance. To generate a performance curve, not only the design point but also the off-design points were computed. The results were compared with available experimental data in terms of head generated. At the design point, the analysis accurately predicts the experimental head value. In the range of the higher flow rates, the results are also in very good agreement with the experimental data, in magnitude but also in terms of slope of variation. For lower flow rates, the results shows that the analysis considering the suction and discharge well describe the typical S-shape performance curve of the axial pump.

Determination of CTOD & CTOA Curve for Structural Steel Hot-Rolled Thin Plates (일반 구조용강 열간압연 박판에 대한 CTOD와 CTOA 곡선 결정)

  • 이계승;이억섭
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.729-732
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    • 2003
  • The K-R design curve is an engineering method of linear-elastic fracture analysis under plane-stress loading conditions. By the way, linear-elastic fracture mechanics (LEFM) is valid only as long as nonlinear material deformation is confined to a small region surrounding the crack tip. Like general steels, it is virtually impossible to characterize the fracture behavior with LEFM, in many materials. Critical values of J contour integral or crack tip opening displacement (CTOD) give nearly size independent measures of fracture toughness, even for relatively large amounts of crack tip plasticity. Furthermore, the crack tip opening displacement is the only parameter that can be directly measured in the fracture test. On the other. the crack tip opening angle (CTOA) test is similar to CTOD experimentally. Moreover, the test is easier to measure the fracture toughness than other method. The shape of the CTOA curve depends on material fracture behavior and, on the opening configuration of the cracked structure. CTOA parameter describes crack tip conditions in elastic-plastic materials, and it can be used as a fracture criterion effectively. In this paper, CTOA test is performed for steel JS-SS400 hot-rolled thin plates under plane-stress loading conditions. Special experimental apparatuses are used to prevent specimens from buckling and to measure crack tip opening angle for thin compact tension (CT) specimens.

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Study on the Path Independency of $\Delta$J Integral ($\Delta$J 적분의 경로독립성에 관한 연구)

  • 김태순;박재학;윤기봉
    • Journal of the Korean Society of Safety
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    • v.11 no.2
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    • pp.16-24
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    • 1996
  • In this study we simulate the fatigue test of a compact tension specimen and obtain the displacements, stresses and strains by using the finite element method. And we examine the path independency of $\Delta$J integral values and compare it with $\Delta$J integral values calculated from load-load line displacement curve. From the results of this study, we can find that $\Delta$J integral show the path Independency for saturated materials. We can also find that the path independency of $\Delta$J Is not satisfied when different material Is assumed near the crack tip, but the difference in $\Delta$J is small. And $\Delta$J integral values calculated from load-load line displacement is very analogous with those from integration path but always have lower values than those from integration paths. In the case of crack closing, we found that $\Delta$J integral values from load-load line displacement should be calculated with the load Increment values based on the crack opening point. The unsaturated material is also simulated and its $\Delta$J shows different values according to the path, but the difference is small.

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